"Perfect Square Formula" Operation of Integers PPT Courseware 2

Description

"Perfect Square Formula" Operation of Integers PPT Courseware 2

Teaching goal analysis

Knowledge and skills:

Be able to derive the perfect square formula, understand the geometric background of the formula, feel the connection between numbers and shapes, and be able to use formulas to perform simple calculations.

Process and methods:

Further develop students' sense of symbols and reasoning abilities, pay attention to students' understanding of arithmetic, and consciously cultivate their ability to think and express in an organized manner.

Emotional attitudes and values:

Encourage students to explore the diversity of algorithms on their own, cultivate students' exploratory spirit and innovation ability, and at the same time strengthen students' team awareness through group cooperation.

1. "Introduction" formula, passion and interest

Class 7 requires that the side length of the original health area be increased by b meters and expanded into a large square with a side length of (a + b) meters.

Class 11 requires the addition of a square sanitary area with a side length of b meters.

Hey, don’t you two have the same requirements?

Our class originally had a square sanitation responsibility area with a side length of a meter.

2 "Proof" formula, infer numbers from shapes

Using polynomial multiplication

(a+b)2=(a+b)(a+b)=a2+ab+ba+ b2 =a2+2ab+b2

Utilize "combination of numbers and shapes"

(a+b)2=a2+2ab+b2

Speak freely, lesson summary

Question 1

What is the perfect square formula?

How to verbalize the perfect square formula?

Question 2

How to derive the formula:

How to use

Derived from polynomial multiplication?

Derived from the idea of ​​reduction?

Export by combining numbers and shapes?

Talk about harvest

Speak freely and talk about your gains and insights from this class.

Teaching evaluation and reflection

1 Evaluate students’ participation in the activity

2 Evaluate students’ formula derivation and structural understanding

3 Evaluate whether students’ language expression is organized

4. Evaluate new ideas, new methods that appear in the classroom, and deficiencies in student performance.

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For more information about the PPT courseware "Operations of Integers with Complete Square Formulas", please click the "Operations of Integers with Complete Square Formulas ppt" ppt tag.

"Perfect Square Formula" PPT courseware 3:

"Perfect Square Formula" PPT Courseware 3 Objective Navigation 1. Be proficient in using the perfect square formula for calculations; 2. Flexibly use the difference of squares and the perfect square formula to perform mixed operations; 3. Feel the power of the multiplication formula in the process of applying the multiplication formula for calculations. Function and...

"Perfect Square Formula" PPT courseware 2:

"Perfect Square Formula" PPT courseware 2 Mathematical expression of the perfect square formula: (a+b)2= a2 +2ab+b2 (a-b)2= a2 - 2ab+b2 Text description of the perfect square formula: The sum of two numbers (or difference) squared, is equal to the sum of their squares, plus (or minus..

"Perfect Square Formula" PPT courseware:

"Perfect Square Formula" PPT courseware review 1. Describe the content of the square difference formula and express it with letters. The product of the sum of two numbers and the difference of the two numbers is equal to the square difference of the two numbers. The formula is expressed as: (a+b ) (a-b)=a2 b2 2. 103 97=(100+3) (100-3) ..

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Update Time: 2024-09-27

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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